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The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s?
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The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t)...
Wave Function:
The given wave function for the wave pulse is:
y(x, t) = (0.1C^3) / (C^2 * (x - vt)^2)
where C = 4 cm is a constant and represents the amplitude of the wave pulse, and v is the velocity of the wave pulse.
Observation:
It is observed that at time t = 2 * 10^-3 s, the displacement y(x, t) decreases its maximum value to half of its maximum value.
Analysis:
To analyze the given wave function, let's consider y(x, t) at time t = 1s, i.e., y(x, 1).
Motion of Travelling Pulse:
If y(x, 1) represents the motion of a travelling pulse, then it should satisfy the condition of a pulse moving along the positive X direction. This means that the pulse should retain its shape and move with a constant velocity v.
Condition of a Travelling Pulse:
For a pulse to be a travelling pulse, the shape of the pulse should remain unchanged as it moves along the positive X direction. In other words, the shape of the pulse should be independent of time.
Verification:
Let's verify whether y(x, 1) represents the motion of a travelling pulse or not.
Calculating y(x, 1):
Substituting t = 1s in the wave function, we get:
y(x, 1) = (0.1C^3) / (C^2 * (x - v)^2)
Conclusion:
After analyzing the wave function y(x, 1), it is evident that it does not represent the motion of a travelling pulse.
Reason:
The wave function y(x, 1) depends on time t, which means that the shape of the pulse changes with time. Therefore, it does not satisfy the condition of a travelling pulse.
Speed of Wave Pulse:
The speed of a wave pulse is given by the formula:
v = √(T/μ)
where T is the tension in the medium and μ is the linear mass density of the medium.
Given Information:
The given speed of the wave pulse is 10 m/s.
Determining Tension and Linear Mass Density:
To determine the tension and linear mass density, we need more information about the medium in which the wave pulse is propagating. Without this information, we cannot calculate the tension and linear mass density, and hence, we cannot determine the speed of the wave pulse.
Conclusion:
Therefore, based on the given information, we cannot determine whether the speed of the wave pulse is 10 m/s or not.
The given wave function for the wave pulse is:
y(x, t) = (0.1C^3) / (C^2 * (x - vt)^2)
where C = 4 cm is a constant and represents the amplitude of the wave pulse, and v is the velocity of the wave pulse.
Observation:
It is observed that at time t = 2 * 10^-3 s, the displacement y(x, t) decreases its maximum value to half of its maximum value.
Analysis:
To analyze the given wave function, let's consider y(x, t) at time t = 1s, i.e., y(x, 1).
Motion of Travelling Pulse:
If y(x, 1) represents the motion of a travelling pulse, then it should satisfy the condition of a pulse moving along the positive X direction. This means that the pulse should retain its shape and move with a constant velocity v.
Condition of a Travelling Pulse:
For a pulse to be a travelling pulse, the shape of the pulse should remain unchanged as it moves along the positive X direction. In other words, the shape of the pulse should be independent of time.
Verification:
Let's verify whether y(x, 1) represents the motion of a travelling pulse or not.
Calculating y(x, 1):
Substituting t = 1s in the wave function, we get:
y(x, 1) = (0.1C^3) / (C^2 * (x - v)^2)
Conclusion:
After analyzing the wave function y(x, 1), it is evident that it does not represent the motion of a travelling pulse.
Reason:
The wave function y(x, 1) depends on time t, which means that the shape of the pulse changes with time. Therefore, it does not satisfy the condition of a travelling pulse.
Speed of Wave Pulse:
The speed of a wave pulse is given by the formula:
v = √(T/μ)
where T is the tension in the medium and μ is the linear mass density of the medium.
Given Information:
The given speed of the wave pulse is 10 m/s.
Determining Tension and Linear Mass Density:
To determine the tension and linear mass density, we need more information about the medium in which the wave pulse is propagating. Without this information, we cannot calculate the tension and linear mass density, and hence, we cannot determine the speed of the wave pulse.
Conclusion:
Therefore, based on the given information, we cannot determine whether the speed of the wave pulse is 10 m/s or not.
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The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s?
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The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s?.
The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s?.
Solutions for The wave function for the wave (x, t) = (0.1C ^ 3)/(C ^ 2 (x - nu*t) ^ 2) pulse is with C = 4cm at x = C = 4 cm x = 0 displacement y(x, t) is observed to decrease its maximum value to half of its maximum va time t = 2 * 10 ^ - 3 * s y(x, 1) represents the motion of travelling pulse moving along positive X direction. y(x, 1) does not represent the motion of a travelling pulse ive pulse is 20 m/s Speed of wave pulse is 10 m/s? in English & in Hindi are available as part of our courses for JEE.
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